As sum of all angles of triangle equal to 180 degrees.
First we have to add the angles.
50+75+55
=50+130
=180 degrees
Answer: Zipora can construct exactly one triangle.
Answer:
$15.95
Step-by-step explanation:
cost of 1 gram of sweet = $2.10 / 50 = 0.042
Cost of 380 g = 380 x 0.042 = $15.96
to the nearest 5 cent = 15.95
1.) Distribute out the h: h(b+r)=25
2.) Divide out b+r: h=25/(b+r)
The answer is 25/(b+r)
Use the rules of logarithms and the rules of exponents.
... ln(ab) = ln(a) + ln(b)
... e^ln(a) = a
... (a^b)·(a^c) = a^(b+c)
_____
1) Use the second rule and take the antilog.
... e^ln(x) = x = e^(5.6 + ln(7.5))
... x = (e^5.6)·(e^ln(7.5)) . . . . . . use the rule of exponents
... x = 7.5·e^5.6 . . . . . . . . . . . . use the second rule of logarithms
... x ≈ 2028.2 . . . . . . . . . . . . . use your calculator (could do this after the 1st step)
2) Similar to the previous problem, except base-10 logs are involved.
... x = 10^(5.6 -log(7.5)) . . . . . take the antilog. Could evaluate now.
... = (1/7.5)·10^5.6 . . . . . . . . . . of course, 10^(-log(7.5)) = 7.5^-1 = 1/7.5
... x ≈ 53,080.96
Answer:
415/619
Step-by-step explanation:
619 is a prime number, so the fraction is in simplest form already.
